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Finding the Fourth Proportional to 26.43, 39.66 and 8.40

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Solution

The fourth proportional to 26.43, 39.66 and 8.40 is: 12.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.43 : 39.66 = 8.40 : x
  2. Step 2: Convert to fraction form
    26.43/39.66 = 8.40/x
  3. Step 3: Cross multiply
    26.43x = 39.66 × 8.40
  4. Step 4: Simplify right side
    26.43x = 333.14
  5. Step 5: Solve for x
    x = 333.14/26.43
  6. Step 6: Final answer
    x = 12.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.